+130099
2^(x + 3) = 5^(3x - 1) take the log of both sides
log 2^(x + 3) = log 5^(3x - 1) and we can write
(x + 3) log 2 = (3x - 1) log 5 simplify
x log 2 + 3 log 2 = 3x log 5 - log 5 rearrange as
x log 2 - 3x log 5 = - 3 log 2 - log 5 multiply through by -1
3x log 5 - x log 2 = 3log 2 + log 5 factor the left side
x (3 log 5 - log 2) = 3log 2 + log 5 divide both sides by (3 log 5 - log 2 )
x = [ 3log 2 + log 5 ] / [ 3 log 5- log 2 ] ≈ .892
